63840947626368 has 576 divisors, whose sum is σ = 212804884983600. Its totient is φ = 18306072576000.

The previous prime is 63840947626367. The next prime is 63840947626433. The reversal of 63840947626368 is 86362674904836.

63840947626368 is a `hidden beast` number, since 6 + 3 + 8 + 409 + 47 + 62 + 63 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 63840947626296 and 63840947626305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63840947626363) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2333269008 + ... + 2333296368.

Almost surely, 2^{63840947626368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63840947626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106402442491800).

63840947626368 is an abundant number, since it is smaller than the sum of its proper divisors (148963937357232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63840947626368 is a wasteful number, since it uses less digits than its factorization.

63840947626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28303 (or 28277 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

The spelling of 63840947626368 in words is "sixty-three trillion, eight hundred forty billion, nine hundred forty-seven million, six hundred twenty-six thousand, three hundred sixty-eight".